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Explore a branching particle system model for understanding FKPP (Fisher-Kolmogorov-Petrovsky-Piskunov) fronts in this 28-minute conference talk from the Workshop on "Extremal Statistics in Biology" at the Erwin Schrödinger International Institute. Discover how the FKPP equation models population dynamics, describing the spread and growth of populations over time and space through wave-like patterns. Learn about recent research findings on the noisy FKPP equation with Allee effects that identify three distinct classes of fluctuating wavefronts: pulled, semipushed, and fully pushed fronts. Examine an analytically tractable model that reveals the internal mechanisms driving habitat invasion by cooperating populations, and understand how these mechanisms influence population genealogy. Gain insights into the mathematical modeling of biological systems where cooperation plays a crucial role in population expansion and survival.
